Speaker
Description
Environmental effects can modify quasinormal-mode spectra and affect their physical interpretation. We model such effects by adding a localized Gaussian random perturbation to the analytically solvable Pöschl–Teller potential. Using logarithmic perturbation theory and the generalized QNM norm, we derive the first- and second-order frequency corrections to the fundamental mode while treating the Pöschl–Teller exterior exactly through outgoing boundary conditions. Independently, we solve the full perturbed wave equation using shooting and Wronskian-matching methods and track the fundamental mode by numerical continuation. Comparing the perturbative and direct numerical results provides a controlled test of the accuracy of QNM perturbation theory under random environmental effects.